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Finding the Third Proportional to 80,105,200 and 164,456,980

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Solution

The third proportional to 80,105,200 and 164,456,980 is: 337,632,241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,200 : 164,456,980 = 164,456,980 : x
  2. Step 2: Convert to fraction form
    80,105,200/164,456,980 = 164,456,980/x
  3. Step 3: Cross multiply
    80,105,200x = 164,456,980 × 164,456,980
  4. Step 4: Simplify right side
    80,105,200x = 27,046,098,270,720,400
  5. Step 5: Solve for x
    x = 27,046,098,270,720,400/80,105,200
  6. Step 6: Final answer
    x = 337,632,241.99

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.